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SageMath
E = EllipticCurve("bq1")
E.isogeny_class()
Elliptic curves in class 84525bq
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
84525.bw1 | 84525bq1 | \([0, 1, 1, 400167, -973486006]\) | \(1605632000/93710763\) | \(-413608923631327921875\) | \([]\) | \(2128896\) | \(2.6356\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 84525bq1 has rank \(1\).
Complex multiplication
The elliptic curves in class 84525bq do not have complex multiplication.Modular form 84525.2.a.bq
sage: E.q_eigenform(10)